Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Hendi, S. H.; Tavakkoli, A. M.; Panahiyan, S.; Panah, B. Eslam; Hackmann, Eva

doi:10.1140/epjc/s10052-020-8065-9

Cited by 21 publications

(11 citation statements)

References 130 publications

(151 reference statements)

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“…It would be quite interesting to apply the above technique for other spacetimes such as Kerr-de Sitter spacetime [60][61][62], Kerr-Newman-de Sitter spacetimes [63][64][65], charged BTZ black hole [66][67][68] and black holes in Horava gravity [69,70] for defining a global temperature and entropy for these spacetimes.…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics of multi-horizon spacetimes

Singha

2021

Preprint

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There exist several well-established procedures for computing thermodynamics for a single horizon spacetime. However, for a spacetime with multi-horizon, the thermodynamics is not very clear. It is not fully understood whether there exists a global temperature for the multi-horizon spacetime or not. Here we show that a global temperature can exist for Schwarzschild-de Sitter spacetime, Reissner-Nordstrom-de Sitter spacetime, and rotating BTZ black hole. This temperature does not coincide with the conventional Hawking temperature related to the outer horizon. We also show that the total entropy for these spacetimes can not be determined only by the outer horizon. The correlations between the horizons of these spacetimes determine it.

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Section: Discussionmentioning

confidence: 99%

Thermodynamics of multi-horizon spacetimes

Singha

2021

Preprint

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“…taking into account the condition (30). The negative branch is not of our interest, since it has no classical interpretations 2 .…”

Section: General Analysis Of the Equations Of Motionmentioning

confidence: 99%

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

Fathi,

Olivares,

Villanueva

2021

Preprint

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We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole's exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through conceiving a radial and an angular structure function, which are let to be constant. The description of the motion is carried out by using the Hamilton-Jacobi method, that allows defining two effective potentials, characterizing the evolution of the polar coordinates. The (hyper-)elliptic integrals of motion are then solved analytically, and the evolution of coordinates is expressed in terms of the Mino time. This way, the three-dimensional demonstrations of the light ray trajectories are given respectively.

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“…taking into account the condition (30). The negative branch is not of our interest, since it has no classical interpretations.…”

Section: The Evolution Of the Radial Distance (The R -Motion)mentioning

confidence: 99%

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

2021

View full text Add to dashboard Cite

We calculate the exact solutions to the equations of motion that govern the light ray trajectories as they travel in a Kerr black hole’s exterior that is considered to be filled with an inhomogeneous and anisotropic plasmic medium. This is approached by characterizing the plasma through conceiving a radial and an angular structure function, which are let to be constant. The description of the motion is carried out by using the Hamilton–Jacobi method, that allows defining two effective potentials, characterizing the evolution of the polar coordinates. The elliptic integrals of motion are then solved analytically, and the evolution of coordinates is expressed in terms of the Mino time. This way, the three-dimensional demonstrations of the light ray trajectories are given respectively.

show abstract

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Cited by 21 publications

References 130 publications

Thermodynamics of multi-horizon spacetimes

Thermodynamics of multi-horizon spacetimes

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

Analytical study of light ray trajectories in Kerr spacetime in the presence of an inhomogeneous anisotropic plasma

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